Solitons and simple pseudopotentials

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Abstract
A simple type of pseudopotential is defined. It is shown how to compute this pseudopotential by classical means. When the construction is attempted based on the Hirota equation it is found that the condition necessary for the existence of the pseudopotential is the same as that for the existence of n‐soliton solutions to the Hirota equation. It is also shown how to obtain Backlund transformations using this pseudopotential. It is also pointed out that without making any closure assumption this pseudopotential defines a Lie algebra.

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